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   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%pylab inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Populating the interactive namespace from numpy and matplotlib\n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy as np\n",
      "from sklearn.decomposition import PCA\n",
      "from pandas import *\n",
      "import datetime as dt\n",
      "import statsmodels.api as sm"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "/Users/cvogel/anaconda/lib/python2.7/site-packages/scikits/__init__.py:1: UserWarning: Module argparse was already imported from /Users/cvogel/anaconda/lib/python2.7/argparse.pyc, but /Users/cvogel/anaconda/lib/python2.7/site-packages is being added to sys.path\n",
        "  __import__('pkg_resources').declare_namespace(__name__)\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Principal Components Analysis of a set of stocks "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "prices_long = read_csv('data/stock_prices.csv', index_col = [0, 1], \n",
      "                       parse_dates = True, squeeze = True)\n",
      "dji_all     = read_csv('data/dji.csv', index_col = 0, parse_dates = True)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Some convenience functions to be used later."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "calc_returns = lambda x: np.log(x / x.shift(1))[1:]\n",
      "scale        = lambda x: (x - x.mean()) / x.std()\n",
      "    \n",
      "def OLSreg(y, Xmat):\n",
      "    return sm.OLS(y, sm.add_constant(Xmat, prepend = True)).fit()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The prices dataset is in a longitudinal format (i.e. rows = no. days $\\times$ no. of stocks and cols = 1 (price)). We'll unstack it, to make a 'wide' dataset with rows = no. days and columns = no. stocks, with each cell the corresponding price.\n",
      "\n",
      "We'll also remove a ticker and a date with missing data."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "prices = prices_long.unstack()\n",
      "dates = list(prices.index)\n",
      "dates.remove(dt.datetime(2002, 2, 1))\n",
      "prices = prices.drop('DDR', axis = 1)\n",
      "prices = prices.drop([dt.datetime(2002, 2, 1)])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "prices.shape"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 6,
       "text": [
        "(2366, 24)"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Create a dataset with the daily returns to each stock."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "returns = prices.apply(calc_returns)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The Dow Jones index data is sorted latest date first, so we sort it. Then, we'll keep only the closing price, and calculate returns."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "dji_all = dji_all.sort_index()\n",
      "dji = dji_all['Close'].reindex(index = dates)\n",
      "dji_ret = calc_returns(dji)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We want to try two types of PCA index. \n",
      "\n",
      "First, as in the book, one that performs PCA on the correlation matrix of stock prices. \n",
      "\n",
      "But stock prices are non-stationary, so the estimated correlation matrix is not meaningful. So we'll repeat the exercise with returns correlations.\n",
      "\n",
      "The function `make_pca_index` wraps scikit-learn's `PCA` function. We'll pass it either the prices or returns, and it will compute a correlation matrix and return the first principal component (scaled to have mean 0, variance 1)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def make_pca_index(data, scale_data = True):\n",
      "    '''\n",
      "    Compute the correlation matrix of a set of stock data, and return\n",
      "    the first principal component.\n",
      "\n",
      "    By default, the data are scaled to have mean zero and variance one\n",
      "    before performing the PCA.\n",
      "    '''\n",
      "    if scale_data:\n",
      "        data_std = data.apply(scale)\n",
      "    else:\n",
      "        data_std = data\n",
      "    corrs = np.asarray(data_std.cov())\n",
      "    pca   = PCA(n_components = 1).fit(corrs)\n",
      "    mkt_index = -scale(pca.transform(data_std))\n",
      "    return mkt_index"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "First the price index"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "price_index = make_pca_index(prices)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now we graph the relationship between the PCA index and the Dow Jones index. There is a positive relationship, but given the statistical issues with performing PCA on non-stationary data, it should be considered spurious.\n",
      "\n",
      "*Note:* This code breaks under pandas 0.9.0 due to a bug. If you're running 0.8.x or 0.9.1 it should be fine, but if it generates an error, upgrade your pandas version, or remove the last line of the block (`plt.legend(...)`)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.figure(figsize = (17, 5))\n",
      "plt.subplot(121)\n",
      "plt.plot(price_index, scale(dji), 'k.')\n",
      "plt.xlabel('PCA index')\n",
      "plt.ylabel('Dow Jones Index')\n",
      "ols_fit = OLSreg(scale(dji), price_index)\n",
      "plt.plot(price_index, ols_fit.fittedvalues, 'r-', \n",
      "         label = 'R2 = %4.3f' % round(ols_fit.rsquared, 3))\n",
      "plt.legend(loc = 'upper left')\n",
      "plt.subplot(122)\n",
      "plt.plot(dates, price_index, label = 'PCA Price Index')\n",
      "plt.plot(dates, scale(dji), label = 'DJ Index')\n",
      "plt.legend(loc = 'upper left')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 11,
       "text": [
        "<matplotlib.legend.Legend at 0x10a755790>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
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IIYQQQjQhCbYIIYQQQgghhBBCNCEJtgghhBDigmQwGIiJiWHcuHEUFRW19nCEEEIIIRpM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JWVSSayer2e0NBQPvnkE377298CwjFw9epVioqKFCKcKAY1Z2yu8ch9+/YlOzsbHx8fQkNDKSkp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\nQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a004a10>"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now, let's create a PCA index using the returns. "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "returns_index = make_pca_index(returns)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 12
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Comparing the returns PCA index to the returns to the Dow Jone index, we find a more reliable and meaningful relationship."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ols_fit = OLSreg(dji_ret, returns_index)\n",
      "plt.figure(figsize = (17, 5))\n",
      "plt.subplot(121)\n",
      "plt.plot(returns_index, dji_ret, 'k.')\n",
      "plt.plot(returns_index, ols_fit.fittedvalues, 'r-', \n",
      "         label = ('R2 = %4.3f' % round(ols_fit.rsquared, 3)))\n",
      "plt.legend(loc = 'upper left', frameon = False)\n",
      "plt.subplot(122)\n",
      "plt.plot(dates[1:], 100*np.exp((returns_index * dji_ret.std()).cumsum()), \n",
      "         label = 'PCA Returns')\n",
      "plt.plot(dates[1:], 100*np.exp(dji_ret.cumsum()), label = 'DJ Index')\n",
      "plt.legend(loc = 'upper left')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 13,
       "text": [
        "<matplotlib.legend.Legend at 0x10a6e5f90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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PT6WuCw90jfOpZGVLeSxmEz/tT+bv769n1WNXV+qafKudG6aur9Fz5dxR2ZWq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0apjgGk7yg2NpZPPvmkzvcvEAgEvsSk11Hj0QFkw6Fc9maWUF6jbsNqNpsBlHOq0/n/27v3uKjq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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a742790>"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Lastly, let's examine how much of the variance in stock returns is explained by each principal component.\n",
      "\n",
      "We see that the first component explaines about 35% of the variance and by the fourth, we've explained more than half. "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "pca_fit = PCA(n_components = 24).fit(returns.corr())"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 14
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.bar(arange(24) + .5, pca_fit.explained_variance_ratio_.cumsum())\n",
      "plt.ylim((0, 1))\n",
      "plt.xlabel('No. of principal components')\n",
      "plt.ylabel('Cumulative variance explained')\n",
      "plt.grid(axis = 'y', ls = '-', lw = 1, color = 'white')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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c5JZB8NVXX3HfffdRXl7Ozp07MZlM2Gw2TCYTFRUV7N27l3fffddZtYqIiAPccmjIzc0N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\nEREXpyAQEXFx/wdU7CZ+mKB2SAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109e45210>"
       ]
      }
     ],
     "prompt_number": 15
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "If we plot the loadings of the first component across our stocks, we see that this component loads approximately evenly (with a few exceptions) across the stocks. So the interpretation of this variable as a \"market\" factor or index is reasonable."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.bar(arange(24), pca_fit.components_[0])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 16,
       "text": [
        "<Container object of 24 artists>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x109bc4790>"
       ]
      }
     ],
     "prompt_number": 16
    }
   ],
   "metadata": {}
  }
 ]
}